What is the general solution of the differential equation dy/dx=6e^x?
1 Answer
Oct 7, 2017
Explanation:
We have:
dy/dx=6e^x
This is a FIrst Order Separable ODE so we can just separate the variables to get:
int \ dy = int \ 6e^x \ dx
Both sides are directly integrable so if we integrate we get:
y = 6e^x + C
Applying the initial Conditions,
2 = 6e^0 + C => C = -4
Leading to the PS:
y = 6e^x -4